Pith Number

pith:I3B2VR5F

pith:2025:I3B2VR5FCOCRDP3AVNAAZJSRSZ

not attested not anchored not stored refs pending

Estimates for the Gross-Pitaevskii equation linearized around a vortex

Charles Collot, Eliot Pacherie, Pierre Germain

arxiv:2503.02953 v3 · 2025-03-04 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3B2VR5FCOCRDP3AVNAAZJSRSZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices

Receipt and verification

First computed	2026-07-05T11:27:24.734118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c3aac7a5138511bf60ab400ca651967455c8739befc24dafa8ecfeff18b03a

Aliases

arxiv: 2503.02953 · arxiv_version: 2503.02953v3 · doi: 10.48550/arxiv.2503.02953 · pith_short_12: I3B2VR5FCOCR · pith_short_16: I3B2VR5FCOCRDP3A · pith_short_8: I3B2VR5F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I3B2VR5FCOCRDP3AVNAAZJSRSZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 46c3aac7a5138511bf60ab400ca651967455c8739befc24dafa8ecfeff18b03a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4b957ff48fed60a729d1d1c301af585165191cc5658e75009eaf4f0104a72b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-04T19:20:07Z",
    "title_canon_sha256": "23ec42e8a3c8c3daba5ca00d06f21c5b794cd4c1a498d3607b9d107d8a8709c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02953",
    "kind": "arxiv",
    "version": 3
  }
}